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Finding the Fourth Proportional to 121,678.49, 182,263.14 and 97,857.27

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Solution

The fourth proportional to 121,678.49, 182,263.14 and 97,857.27 is: 146,581.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,678.49 : 182,263.14 = 97,857.27 : x
  2. Step 2: Convert to fraction form
    121,678.49/182,263.14 = 97,857.27/x
  3. Step 3: Cross multiply
    121,678.49x = 182,263.14 × 97,857.27
  4. Step 4: Simplify right side
    121,678.49x = 17,835,773,302.03
  5. Step 5: Solve for x
    x = 17,835,773,302.03/121,678.49
  6. Step 6: Final answer
    x = 146,581.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.